Autor:

Foryś, Urszula ; Marciniak-Czochra, Anna

Współtwórca:

Kimmel, Marek - red. ; Lachowicz, Mirosław - red. ; Świerniak, Andrzej - red.

Tytuł:

Logistic equations in tumour growth modelling

Podtytuł:

Cancer Growth and Progression, Mathematical Problems and Computer Simulations

Tytuł publikacji grupowej:

AMCS, volume 13 (2003)

Temat i słowa kluczowe:

logistic equation ; delay differential equations ; reaction-diffusion equation ; stability ; global stability ; Hopf bifurcation ; spatial pattern ; Ehrlich ascities tumour

Abstract:

The aim of this paper is to present some approaches to tumour growth modelling using the logistic equation. As the first approach the well-known ordinary differential equation is used to model the EAT in mice. For the same kind of tumour, a logistic equation with time delay is also used. ; As the second approach, a logistic equation with diffusion is proposed. In this case a delay argument in the reaction term is also considered. Some mathematical properties of the presented models are studied in the paper. The results are illustrated using computer simulations.

Wydawca:

Zielona Góra: Uniwersytet Zielonogórski

Data wydania:

2003

Typ zasobu:

artykuł

Strony:

317-325

Źródło:

AMCS, volume 13, number 3 (2003) ; kliknij tutaj, żeby przejść

Jezyk:

eng

Licencja CC BY 4.0:

kliknij tutaj, żeby przejść

Prawa do dysponowania publikacją:

Biblioteka Uniwersytetu Zielonogórskiego